GCD of 782, 778, 122, 906 Calculator

Given Input numbers are 782, 778, 122, 906

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 782, 778, 122, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 778, 122, 906 is 2.

Therefore, GCD of numbers 782, 778, 122, 906 is 2

Given Input Data is 782, 778, 122, 906

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 778 is 2 x 389

Prime Factorization of 122 is 2 x 61

Prime Factorization of 906 is 2 x 3 x 151

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(782, 778) = 304198

GCD(782, 778) = ( 782 x 778 ) / 304198

GCD(782, 778) = 608396 / 304198

GCD(782, 778) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 906

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 906) = 906

GCD(2, 906) = ( 2 x 906 ) / 906

GCD(2, 906) = 1812 / 906

GCD(2, 906) = 2

GCD of 782, 778, 122, 906 is 2

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1. What is the GCD of 782, 778, 122, 906?

GCD of 782, 778, 122, 906 is 2

2. Where do I get the detailed procedure to find GCD of 782, 778, 122, 906?

You can find a detailed procedure to find GCD of 782, 778, 122, 906 on our page.

3. How to find GCD of 782, 778, 122, 906 on a calculator?

You can find the GCD of 782, 778, 122, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.